A MEWMA chart for a bivariate exponential distribution

Control charts as one of the most well-known statistical process control (SPC) techniques have shown to be effective in process monitoring. Most of the existing studies in the area of the time-between-event (TBE) control charts have been focused on the univariate cases. In this paper, a MEWMA chart is constructed for monitoring the mean vector of the Gumbel´s bivariate exponential TBE model. The average run length profile of the proposed chart is studied using simulation. Some guidelines for setting up an optimal MEWMA chart are provided. Finally, a numerical example is given to show the effectiveness of the MEWMA chart.